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<p>We construct a dilaton Weyl multiplet for <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_25936_Article_IEq2.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <mi mathvariant="script">N</mi> </math></EquationSource> <EquationSource Format="TEX">\( \mathcal{N} \)</EquationSource> </InlineEquation> = 3 conformal supergravity in four dimensions. We couple an on-shell vector multiplet to the standard Weyl multiplet and use the field equations of the vector multiplet to replace some of the components of the auxiliary fields of the standard Weyl multiplet with the fields of the vector multiplet and some dual gauge fields. The R-symmetry of the multiplet is SU(2) × U(1) × U(1). Furthermore, we gauge fix one of the two U(1) symmetries and rewrite the result for the dilaton Weyl multiplet with SU(2) × U(1) R-symmetry.</p>

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Dilaton Weyl multiplets for \( \mathcal{N} \) = 3 conformal supergravity in four dimensions

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年4月9日

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  • Soumya Adhikari,
  • Aravind Aikot,
  • Madhu Mishra,
  • Bindusar Sahoo

摘要

We construct a dilaton Weyl multiplet for N \( \mathcal{N} \) = 3 conformal supergravity in four dimensions. We couple an on-shell vector multiplet to the standard Weyl multiplet and use the field equations of the vector multiplet to replace some of the components of the auxiliary fields of the standard Weyl multiplet with the fields of the vector multiplet and some dual gauge fields. The R-symmetry of the multiplet is SU(2) × U(1) × U(1). Furthermore, we gauge fix one of the two U(1) symmetries and rewrite the result for the dilaton Weyl multiplet with SU(2) × U(1) R-symmetry.